The hypotenuse of a right triangle is $5 m$ if the smaller is doubles and longer is triples the new hypotenuse is $6\sqrt{5} m$. FInd the sides of the triangle.

What I found so far: After coming up the equation in both we will come upon a case where we will find a quadratic equation in one variable where we will have to apply Discriminant Formula or Factorisation formula to come up with the solution.